Gilmour may be recalled to the starting lineup for Scotland at Euro 2020 against England on Friday in a vital group stage game.
The starlet is still pushing to get more game time with the Blues in the Premier League, but has shown a lot of promise in those matches.
"Scotland are a team with a good mentality but without real talent, especially in attack," wrote Mourinho in his pre-match column for The Sun.
"I was surprised with Scotland against the Czechs in the way they really struggled to build their game. The quality wasn't high."
He continued: "I saw how difficult it was for Scotland to play from the back and to reach the midfield so I would ask if Billy Gilmour can't give them more possession.
"I looked to Spain playing this youngster Pedri and I ask myself if Gilmour can't give more to Scotland."